coil up into (something)
To curl oneself or something into a certain shape. A noun or pronoun can be used between "coil" and "up." Unfortunately, the yarn in this basket is all coiled up into a ball—it'll take some time to untangle it.
coil (itself) up into something
[for something] to wrap or twist itself into a particular shape. The frightened snaked coiled itself up into a knot. The spring coiled up into its original shape.